CN107886571A - A kind of Mathematical Modeling Methods using computer hyperspace - Google Patents
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Abstract
Description
技术领域technical field
本发明属于计算机技术领域, 特别涉及一种利用计算机多维空间的数学建模方法。The invention belongs to the technical field of computers, and in particular relates to a mathematical modeling method utilizing computer multi-dimensional space.
背景技术Background technique
数学模型是一种模拟,是用数学符号、数学式、程序、图形等对实际课题本质属性的抽象而又简洁的刻画,它或能解释某些客观现象,或能预测未来的发展规律,或能为控制某一现象的发展提供某种意义下的最优策略或较好策略。数学模型一般并非现实问题的直接翻版,它的建立常常既需要人们对现实问题深入细微的观察和分析,又需要人们灵活巧妙地利用各种数学知识。这种应用知识从实际课题中抽象、提炼出数学模型的过程就称为数学建模。A mathematical model is a kind of simulation, which is an abstract and concise description of the essential attributes of an actual subject with mathematical symbols, mathematical formulas, programs, graphics, etc. It may explain certain objective phenomena, or predict future development laws, or It can provide an optimal strategy or a better strategy in a certain sense for controlling the development of a certain phenomenon. Mathematical models are generally not a direct copy of real problems. Its establishment often requires people to observe and analyze real problems in depth and subtlety, and people need to use various mathematical knowledge flexibly and skillfully. The process of abstracting and extracting mathematical models from practical subjects by applying knowledge is called mathematical modeling.
不论是用数学方法在科技和生产领域解决哪类实际问题,还是与其它学科相结合形成交叉学科,首要和关键的一步是建立研究对象的数学模型,并加以计算求解(通常借助计算机);数学建模和计算机技术结合在知识经济时代发挥了巨大的作用。No matter what kind of practical problems are solved in the field of science and technology and production with mathematical methods, or combined with other disciplines to form an interdisciplinary subject, the first and key step is to establish a mathematical model of the research object and calculate and solve it (usually with the help of a computer); The combination of modeling and computer technology has played a huge role in the era of knowledge economy.
目前,大多数计算机建模方法复杂,真正转化为计算机编程的可能性不大,模拟精度不高,函数关系不准确,多停留在理论阶段。而且现有的多维空间的数学建模方法无法与实际有效的结合且相对非常复杂,在实际建模过程中无法进行编程以及运行。大多数多维空间的数学建模方法复杂。At present, most computer modeling methods are complicated, and it is unlikely to be truly transformed into computer programming. The simulation accuracy is not high, and the function relationship is not accurate, and they mostly stay at the theoretical stage. Moreover, the existing mathematical modeling methods for multi-dimensional spaces cannot be effectively combined with reality and are relatively very complicated, and cannot be programmed and operated in the actual modeling process. The mathematical modeling methods of most multidimensional spaces are complex.
发明内容Contents of the invention
本发明的目的是为了解决上述现有技术的不足而提供一种利用计算机多维空间的数学建模方法。The object of the present invention is to provide a mathematical modeling method using computer multi-dimensional space in order to solve the above-mentioned deficiencies in the prior art.
为了实现上述目的,本发明所设计的一种利用计算机多维空间的数学建模方法,具体包括以下步骤:In order to achieve the above object, a kind of mathematical modeling method utilizing computer multi-dimensional space designed by the present invention specifically comprises the following steps:
S1、先对现实场景进行多维度的拍照,然后通过计算机采集的图片并加以多维度空间分析, 具体分析多个维度上的空间位置、是否有遮挡问题;S1. First take multi-dimensional photos of the real scene, and then analyze the multi-dimensional space through the pictures collected by the computer, and specifically analyze the spatial position in multiple dimensions and whether there is an occlusion problem;
S2、建立原始模型,在CAD绘图软件中整理包括照片中地形的DWG文件,并在建模软件中建立模型底盘,所述模型底盘与现实场景为等比例缩放;S2, set up the original model, organize the DWG file including the terrain in the photo in the CAD drawing software, and set up the model chassis in the modeling software, and the model chassis and the real scene are proportionally scaled;
S3、确定建筑模型空间维度;并利用多维空间创建场景的模型;S3. Determine the space dimension of the building model; and use the multi-dimensional space to create a model of the scene;
S4、在模型创建完成后,在模型底盘上进行模型规划,利用生态建筑软件对建筑模型的性能进行模拟,结合建筑物的原始外形和周边环境的关系,将相邻建筑模型进行空间维度组织、尺度和造型进行计算,防止模型的碰撞;S4. After the model is created, plan the model on the model chassis, use the ecological building software to simulate the performance of the building model, combine the original shape of the building and the relationship between the surrounding environment, organize the adjacent building models in spatial dimensions, Calculate the scale and shape to prevent model collisions;
S5、获得最终规划的模型,然后将模型放置在模型底盘的相应位置;并输出模型场景影像;并进行仿真获得输出仿真影像,获得生成动态影像,最终获得由计算机构件的多维度数学模型。S5. Obtain the final planned model, and then place the model on the corresponding position of the model chassis; and output the scene image of the model; and perform simulation to obtain the output simulation image, obtain and generate a dynamic image, and finally obtain a multi-dimensional mathematical model composed of computer components.
进一步,在步骤S3中如何确定建筑模型空间维度的具体步骤如下:Further, the specific steps of how to determine the spatial dimension of the building model in step S3 are as follows:
S31、通过预先拍照的数据由计算机采集的数据并分析遮挡物的位置;然后对数据进行离散处理;S31, the data collected by the computer through the pre-photographed data and the position of the occluder are analyzed; then the data is discretely processed;
S32、然后先初步确定空间维数;S32, then initially determine the spatial dimension;
S33、将初步确定的多维空间的各个维度数据分别填入行列式的行列;S33. Fill in the initially determined data of each dimension of the multidimensional space into the ranks and columns of the determinant;
S34、通过线性代数理论将行列式简化,并建立函数关系;S34. Simplify the determinant through linear algebra theory, and establish a functional relationship;
S35、将步骤S31中离散的数据带入函数中进行校验运算;S35, bring the discrete data in the step S31 into the function to perform the verification operation;
S36、如果步骤S35中校验的误差大于规定范围,则重新选择附近的数值并建立函数关系;S36, if the error verified in step S35 is greater than the specified range, then reselect nearby numerical values and establish a functional relationship;
S37、如果重试达到规定次数,则返回步骤S32,重新确定合适的空间维数;直至校验合格,获得最终模型的空间维度。S37. If the number of retries reaches the specified number, return to step S32 to re-determine the appropriate spatial dimension; until the verification is qualified, the final spatial dimension of the model is obtained.
进一步,所述建模的模型与最终实物成比例缩放。Further, the modeled model is scaled proportionally to the final object.
进一步,在模拟仿真过程中的像素值是当该模型缩放到10%还能够看清图像的大小。Further, the pixel value in the simulation process is the size of the image that can be seen clearly when the model is scaled to 10%.
进一步,在拍照过程中的像素值是当该照片放入电脑后缩放到10%还能够看清图像的大小。Further, the pixel value in the process of taking pictures is the size that can still be seen clearly when the photo is zoomed to 10% after being put into the computer.
本发明得到的一种利用计算机多维空间的数学建模方法,具有以下优点:本发明先对实地进行多维空间拍摄,然后获取照片,根据照片信息通过计算机获取多维度空间,然后利用计算机计算模型,并实时分析模型的维度,然后最终获得模型,并进行仿真,获得动态影像,最后根据动态影像安比例放大创建实体建筑。A mathematical modeling method using computer multi-dimensional space obtained by the present invention has the following advantages: the present invention firstly shoots multi-dimensional space on the spot, then obtains photos, obtains multi-dimensional space by computer according to photo information, and then uses computer calculation model, And analyze the dimensions of the model in real time, and finally obtain the model, perform simulation, obtain dynamic images, and finally create a physical building based on the scale of the dynamic images.
具体实施方式Detailed ways
下面结合实施例对本实施例进一步说明。This embodiment will be further described below in conjunction with the embodiment.
实施例:Example:
本实施例提供的一种利用计算机多维空间的数学建模方法,具体包括以下步骤:A kind of mathematical modeling method utilizing computer multi-dimensional space provided by this embodiment, specifically comprises the following steps:
S1、先对现实场景进行多维度的拍照,然后通过计算机采集的图片并加以多维度空间分析, 具体分析多个维度上的空间位置、是否有遮挡问题;S1. First take multi-dimensional photos of the real scene, and then analyze the multi-dimensional space through the pictures collected by the computer, and specifically analyze the spatial position in multiple dimensions and whether there is an occlusion problem;
S2、建立原始模型,在CAD绘图软件中整理包括照片中地形的DWG文件,并在建模软件中建立模型底盘,所述模型底盘与现实场景为等比例缩放;S2, set up the original model, organize the DWG file including the terrain in the photo in the CAD drawing software, and set up the model chassis in the modeling software, and the model chassis and the real scene are proportionally scaled;
S3、确定建筑模型空间维度;并利用多维空间创建场景的模型;S3. Determine the space dimension of the building model; and use the multi-dimensional space to create a model of the scene;
S4、在模型创建完成后,在模型底盘上进行模型规划,利用生态建筑软件对建筑模型的性能进行模拟,结合建筑物的原始外形和周边环境的关系,将相邻建筑模型进行空间维度组织、尺度和造型进行计算,防止模型的碰撞;S4. After the model is created, plan the model on the model chassis, use the ecological building software to simulate the performance of the building model, combine the original shape of the building and the relationship between the surrounding environment, organize the adjacent building models in spatial dimensions, Calculate the scale and shape to prevent model collisions;
S5、获得最终规划的模型,然后将模型放置在模型底盘的相应位置;并输出模型场景影像;并进行仿真获得输出仿真影像,获得生成动态影像,最终获得由计算机构件的多维度数学模型。S5. Obtain the final planned model, and then place the model on the corresponding position of the model chassis; and output the scene image of the model; and perform simulation to obtain the output simulation image, obtain and generate a dynamic image, and finally obtain a multi-dimensional mathematical model composed of computer components.
进一步,在步骤S3中如何确定建筑模型空间维度的具体步骤如下:Further, the specific steps of how to determine the spatial dimension of the building model in step S3 are as follows:
S31、通过预先拍照的数据由计算机采集的数据并分析遮挡物的位置;然后对数据进行离散处理;S31, the data collected by the computer through the pre-photographed data and the position of the occluder are analyzed; then the data is discretely processed;
S32、然后先初步确定空间维数;S32, then initially determine the spatial dimension;
S33、将初步确定的多维空间的各个维度数据分别填入行列式的行列;S33. Fill in the initially determined data of each dimension of the multidimensional space into the ranks and columns of the determinant;
S34、通过线性代数理论将行列式简化,并建立函数关系;S34. Simplify the determinant through linear algebra theory, and establish a functional relationship;
S35、将步骤S31中离散的数据带入函数中进行校验运算;S35, bring the discrete data in the step S31 into the function to perform the verification operation;
S36、如果步骤S35中校验的误差大于规定范围,则重新选择附近的数值并建立函数关系;S36, if the error verified in step S35 is greater than the specified range, then reselect nearby numerical values and establish a functional relationship;
S37、如果重试达到规定次数,则返回步骤S32,重新确定合适的空间维数;直至校验合格,获得最终模型的空间维度。S37. If the number of retries reaches the specified number, return to step S32 to re-determine the appropriate spatial dimension; until the verification is qualified, the final spatial dimension of the model is obtained.
进一步,所述建模的模型与最终实物成比例缩放。Further, the modeled model is scaled proportionally to the final object.
进一步,在模拟仿真过程中的像素值是当该模型缩放到10%还能够看清图像的大小。Further, the pixel value in the simulation process is the size of the image that can be seen clearly when the model is scaled to 10%.
进一步,在拍照过程中的像素值是当该照片放入电脑后缩放到10%还能够看清图像的大小。Further, the pixel value in the process of taking pictures is the size that can still be seen clearly when the photo is zoomed to 10% after being put into the computer.
本实施例先对实地进行多维空间拍摄,然后获取照片,根据照片信息通过计算机获取多维度空间,然后利用计算机计算模型,并实时分析模型的维度,然后最终获得模型,并进行仿真,获得动态影像,最后根据动态影像安比例放大创建实体建筑。In this embodiment, the multi-dimensional space is first photographed on the spot, and then the photos are obtained, and the multi-dimensional space is obtained through the computer according to the photo information, and then the computer is used to calculate the model, and the dimensions of the model are analyzed in real time, and finally the model is obtained, and the simulation is performed to obtain a dynamic image , and finally create a physical building based on the scaling of the dynamic image.
对于本领域技术人员而言,显然本发明不限于上述示范性实施例的细节,而且在不背离本发明的精神或基本特征的情况下,能够以其他的具体形式实现本发明。因此,无论从哪一点来看,均应将实施例看作是示范性的,而且是非限制性的,本发明的范围由所附权利要求而不是上述说明限定,因此旨在将落在权利要求的等同要件的含义和范围内的所有变化囊括在本发明内。It will be apparent to those skilled in the art that the invention is not limited to the details of the above-described exemplary embodiments, but that the invention can be embodied in other specific forms without departing from the spirit or essential characteristics of the invention. Accordingly, the embodiments should be regarded in all points of view as exemplary and not restrictive, the scope of the invention being defined by the appended claims rather than the foregoing description, and it is therefore intended that the scope of the invention be defined by the appended claims rather than by the foregoing description. All changes within the meaning and range of equivalents of the elements are embraced in the present invention.
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